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Graphs are an intuitive way to represent relationships between variables in fields such as finance and neuroscience. However, these graphs often need to be inferred from data. In this paper, we propose a novel framework to infer a latent…

统计方法学 · 统计学 2024-10-25 Jedidiah Harwood , Debashis Paul , Jie Peng

We propose a vector auto-regressive (VAR) model with a low-rank constraint on the transition matrix. This new model is well suited to predict high-dimensional series that are highly correlated, or that are driven by a small number of hidden…

统计理论 · 数学 2022-01-17 Pierre Alquier , Karine Bertin , Paul Doukhan , Rémy Garnier

Learning temporal patterns from multivariate longitudinal data is challenging especially in cases when data is sporadic, as often seen in, e.g., healthcare applications where the data can suffer from irregularity and asynchronicity as the…

机器学习 · 计算机科学 2021-04-09 Mostafa Mehdipour Ghazi , Lauge Sørensen , Sébastien Ourselin , Mads Nielsen

The availability of data on economic uncertainty sparked a lot of interest in models that can timely quantify episodes of international spillovers of uncertainty. This challenging task involves trading off estimation accuracy for more…

综合经济学 · 经济学 2023-02-07 Niels Gillmann , Ostap Okhrin

High-dimensional vector autoregressive (VAR) models provide a flexible framework for characterizing dynamic dependence in multivariate spatio-temporal systems, but their unrestricted estimation becomes infeasible when multiple variables are…

统计方法学 · 统计学 2026-05-04 Peiliang Bai

This paper introduces a flexible time-varying network vector autoregressive model framework for large-scale time series. A latent group structure is imposed on the heterogeneous and node-specific time-varying momentum and network spillover…

统计方法学 · 统计学 2024-03-12 Degui Li , Bin Peng , Songqiao Tang , Weibiao Wu

A causal vector autoregressive (CVAR) model is introduced for weakly stationary multivariate processes, combining a recursive directed graphical model for the contemporaneous components and a vector autoregressive model longitudinally.…

Network embedding aims to learn low-dimensional representations of nodes while capturing structure information of networks. It has achieved great success on many tasks of network analysis such as link prediction and node classification.…

社会与信息网络 · 计算机科学 2020-04-03 Hansheng Xue , Luwei Yang , Wen Jiang , Yi Wei , Yi Hu , Yu Lin

Identifying the topology underlying a set of time series is useful for tasks such as prediction, denoising, and data completion. Vector autoregressive (VAR) model-based topologies capture dependencies among time series and are often…

信号处理 · 电气工程与系统科学 2023-10-30 Bakht Zaman , Luis Miguel Lopez Ramos , Baltasar Beferull-Lozano

We revisit macroeconomic time-varying parameter vector autoregressions (TVP-VARs), whose persistent coefficients may adapt too slowly to large, abrupt shifts such as those during major crises. We explore the performance of an…

计量经济学 · 经济学 2025-12-04 Nicolas Hardy , Dimitris Korobilis

This paper develops a new analytical model to estimate real-time variations in grid frequency and voltages resulting from dynamic network reconfiguration (DNR). In the proposed model, switching operations are considered as discrete…

系统与控制 · 电气工程与系统科学 2020-12-15 Jae-Young Park , Young-Jin Kim

We propose a model for hierarchical structured data as an extension to the stochastic temporal convolutional network. The proposed model combines an autoregressive model with a hierarchical variational autoencoder and downsampling to…

机器学习 · 计算机科学 2021-07-02 Carl R. Andersson , Niklas Wahlström , Thomas B. Schön

Many important problems can be modeled as a system of interconnected entities, where each entity is recording time-dependent observations or measurements. In order to spot trends, detect anomalies, and interpret the temporal dynamics of…

机器学习 · 计算机科学 2017-06-13 David Hallac , Youngsuk Park , Stephen Boyd , Jure Leskovec

We study the problem of learning the support of transition matrix between random processes in a Vector Autoregressive (VAR) model from samples when a subset of the processes are latent. It is well known that ignoring the effect of the…

机器学习 · 计算机科学 2017-11-13 Saber Salehkaleybar , Jalal Etesami , Negar Kiyavash , Kun Zhang

We present a method that learns to integrate temporal information, from a learned dynamics model, with ambiguous visual information, from a learned vision model, in the context of interacting agents. Our method is based on a…

机器学习 · 计算机科学 2019-02-27 Chen Sun , Per Karlsson , Jiajun Wu , Joshua B Tenenbaum , Kevin Murphy

Panel vector auto-regressive (VAR) models are widely used to capture the dynamics of multivariate time series across different subpopulations, where each subpopulation shares a common set of variables. In this work, we propose a panel VAR…

统计方法学 · 统计学 2025-09-22 Yuchen Xu , George Michailidis

Jointly modeling and forecasting economic and financial variables across a large set of countries has long been a significant challenge. Two primary approaches have been utilized to address this issue: the vector autoregressive model with…

机器学习 · 统计学 2025-03-12 Sanyou Wu , Dan Yang , Yan Xu , Long Feng

Latent space models are popular for analyzing dynamic network data. We propose a variational approach to estimate the model parameters as well as the latent positions of the nodes in the network. The variational approach is much faster than…

统计方法学 · 统计学 2021-06-01 Yan Liu , Yuguo Chen

In economic and financial applications, there is often the need for analysing multivariate time series, comprising of time series for a range of quantities. In some applications such complex systems can be associated with some underlying…

统计方法学 · 统计学 2023-09-27 Anastasia Mantziou , Mihai Cucuringu , Victor Meirinhos , Gesine Reinert

Using a proper model to characterize a time series is crucial in making accurate predictions. In this work we use time-varying autoregressive process (TVAR) to describe non-stationary time series and model it as a mixture of multiple stable…

机器学习 · 统计学 2016-11-17 Jie Ding , Mohammad Noshad , Vahid Tarokh